The laws around land access in England are offensive, and land owners frankly make up these stories about liability etc. The fact that to our north they have adopted to prioritise the rights of people above those of the landowners only makes it more galling.
There’s a farm trail running along the Chiltern Way footpath near me, a couple of times I’ve been ask to not cycle it. When I asked what possible damage it caused the landowner said he was being sued by a woman who had been injured by another cyclist who he should have prevented being there. It was clearly a blatant lie.
Personally I’ve decided I’m not going to do anything that would cause harm to landowners or other users of trails, but I’m not going to follow these laws. I won’t cycle paths when they are soft, I will avoid popular footpaths, and I’ll ensure my speed always allows me to avoid pedestrians.